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Simplifying x + (x + 12) + (x + 12 + 10) = 400 Reorder the terms: x + (12 + x) + (x + 12 + 10) = 400 Remove parenthesis around (12 + x) x + 12 + x + (x + 12 + 10) = 400 Reorder the terms: x + 12 + x + (12 + 10 + x) = 400 Combine like terms: 12 + 10 = 22 x + 12 + x + (22 + x) = 400 Remove parenthesis around (22 + x) x + 12 + x + 22 + x = 400 Reorder the terms: 12 + 22 + x + x + x = 400 Combine like terms: 12 + 22 = 34 34 + x + x + x = 400 Combine like terms: x + x = 2x 34 + 2x + x = 400 Combine like terms: 2x + x = 3x 34 + 3x = 400 Solving 34 + 3x = 400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 3x = 400 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 400 + -34 3x = 400 + -34 Combine like terms: 400 + -34 = 366 3x = 366 Divide each side by '3'. x = 122 Simplifying x = 122
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